5 Slope of a line which cuts intercepts of equal lengths on the axes i

1.	5 Slope of a line which cuts intercepts of equal lengths on the axes is1)-12) 03) 2
Answer» Equation of a straight line in intercept form isx/a +y/b =1whereaandbarex- interceptandy-interceptrespectively. Now intercepts are of equal length. Soa=b Putting these values in equation we getx/a +y/a =1 =>x + y = a Comparing it with general equation of liney = mx + c(where m is slope of line ), We getm=-1 Thus slope of line cutting intercepts of equal length on axis is-1. Hence, option (1) is correct.

5 Slope of a line which cuts intercepts of equal lengths on the axes is1)-12) 03) 2

Answer»

Equation of a straight line in intercept form isx/a +y/b =1whereaandbarex- interceptandy-interceptrespectively.

Now intercepts are of equal length. Soa=b

Putting these values in equation we getx/a +y/a =1

=>x + y = a

Comparing it with general equation of liney = mx + c(where m is slope of line ),

We getm=-1

Thus slope of line cutting intercepts of equal length on axis is-1.

Hence, option (1) is correct.